Online GCD Calculator is useful to find the GCD of 269, 270, 836, 834 quickly. Get the easiest ways to solve the greatest common divisor of 269, 270, 836, 834 i.e 1 in different methods as follows.
Given Input numbers are 269, 270, 836, 834
In the factoring method, we have to find the divisors of all numbers
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (269, 270, 836, 834) = 1.
Given numbers are 269, 270, 836, 834
The list of prime factors of all numbers are
Prime factors of 269 are 269
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 834 are 2 x 3 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 269, 270, 836, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(269, 270) = 72630
GCD(269, 270) = ( 269 x 270 ) / 72630
= 269 / 270
= 269
Step2:
LCM(1, 836) = 836
GCD(1, 836) = ( 1 x 836 ) / 836
= 1 / 836
= 1
Step3:
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
= 1 / 834
= 1
So, Greatest Common Divisor of 269, 270, 836, 834 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 269, 270, 836, 834
The greatest common divisor of numbers 269, 270, 836, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 270, 836, 834 is 1.
1. What is the GCD of 269, 270, 836, 834?
GCD of given numbers 269, 270, 836, 834 is 1
2. How to calculate the greatest common divisor of 269, 270, 836, 834?
We can find the highest common divisor of 269, 270, 836, 834 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 269, 270, 836, 834 i.e 1.
3. How can I use the GCD of 269, 270, 836, 834Calculator?
Out the numbers 269, 270, 836, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.